Doesn't make sense you'd need a crew continually building the hotel in real time for "infinite rooms" to exist. The hotel would necessarily have to be on a relatively massive land expanse to account for infinite rooms and guests because beyond a certain height you risk structural integrity issues.
2:00 Um Actually ☝🤓 you don't actually need to multiply be three here, you could start by multiplying each current guest's room number by 2 (like with one infinite football team) but then, take both teams, and have them alternate like T1P1 T2P1 T1P2 T2P2... you've now simplified the problem to only having one infinite team, I hope that wasn't too hard to understand
Ok these r rlly interesting concepts but also what’s the point of studying this? Like how can this be applied to real life? (Would u need to know this for engineering or physics or smth?) Or is it just studied for fun?
Various concepts have several different applications. Here is the one application of topology. So in topology you have topological spaces, some topological spaces are very useful and they're known as manifolds(basically surfaces in higher dimensions). In general theory of relativity, spacetime is a 4 dimensional manifold that allows one to understand gravity and how a lot of things in the universe work. This is just one application. It even has application in quantum computing.
There is a video called “outside in” where a lady narrator is explaining to a guy narrator how to turn a sphere inside out. Anyway…. Is that an example of Topology? Miss narrator explained that they were working with an abstract elastic material that can bend and stretch, and pass through itself, but can’t crease sharply. Is that the “squishy” stuff of topology shapes? here is a link to one example of the video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-IbGNZQvobkc.html
And then when you have some topology classes in college it's all closed\open sets and other set-teoretic stuff with little to no visualizations of the objects 😅. I'm probably biased because I've only ever had topology courses in the context of other classes.
You have convinced me that topology is a subject that I have zero interest in, so thank you. BTW I have a distant relative who was a fairly well-known topologist: Oswald Veblen. I never understood what interested him about this subject, and I still don't.
If the square root of 2 is irrational. Then it is true then it is irrational. If something is irrational, then it does not matter. If it is true that it is irrational, then it is true that it does not matter. The square root of 2 is irrational. Therefore the square root of 2 does not matter.
